caa a22 4500 463195523 CHVBK 20180406164921.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10773-006-9291-0 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9291-0 Outflow Probability for Drift-Diffusion Dynamics [Elektronische Daten] [Julia Hinkel, Reinhard Mahnke] The proposed explanations are provided for the one-dimensional diffusion process with constant drift by using forward Fokker-Planck technique. We present the exact calculations and numerical evaluation to get the outflow probability in a finite interval, i.e. first passage time probability density distribution taking into account reflecting boundary on left hand side and absorbing border on right hand side. This quantity is calculated from balance equation which follows from conservation of probability. At first, the initial-boundary-value problem is solved analytically in terms of eigenfunction expansion which relates to Sturm-Liouville analysis. The results are obtained for all possible values of drift (positive, zero, negative). As application we get the cumulative breakdown probability which is used in theory of traffic flow. Springer Science+Business Media, LLC, 2006 boundary-value problem nationallicence stochastic analysis nationallicence Markov process nationallicence Hinkel Julia Institute of Physics, Rostock University, D-18051, Rostock, Germany aut Mahnke Reinhard Institute of Physics, Rostock University, D-18051, Rostock, Germany aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1542-1561 0020-7748 46:6<1542 2007 46 10773 https://doi.org/10.1007/s10773-006-9291-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9291-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hinkel Julia Institute of Physics, Rostock University, D-18051, Rostock, Germany aut NATIONALLICENCE 700 1- Mahnke Reinhard Institute of Physics, Rostock University, D-18051, Rostock, Germany aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1542-1561 0020-7748 46:6<1542 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer